IMO Strength is not a "dumpstat" per se, even besides unarmed combat/Archery builds. A dumpstat is a stat that you can convieniently put down to 1 without having to fear negative outcomes from to it.
However, if you put Strength to 1, you can be easily overwhelmed in grappling combat and also (and I feel that this gets overlooked quite a lot here, because there are no explicit mechanics linked to it), depending on the setting you will face a lot of blockages that you could easily overcome by having a decent amount of Strength - especially if your Gamemaster is not keen on punishing silly min-maxing. Moving heavy stuff, pushing a locked/jammed doors open, intimidation checks*...
But, again, that is not not the problem about Strength: The real (if not only?) problem is that there is a high chance for a high-strength character to get substantially worse by picking up a melee weapon. That just sucks from any possible angle. That´s what needs to be fixed.
*"BuT InTimIdaTiOn iS lInkeD tO CHariSmA" Yeah, of course it is, but if you try to intimidate a bunch of roided up gangers looking like a wet noodle you will be at a disadvantage. Gee, if there only was some kind of auxilary mechanic for these kind of situations where the GM can give some kind of bonus to the side that has an upper hand...